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BY-NC-ND 4.0 license Open Access Published by De Gruyter September 22, 2018

Investigation of avascular tumor–immune system interactions using a CA–PDE model

  • Waldemar Zylka EMAIL logo and Jörg Waßenberg


We report on investigations that illustrate the interaction between the specific immune system and a young avascular tumor growing due to a diffusive nutrient supply. We formulate a hybrid cellular automata-partial differential equation (CA-PDE) model which includes cell cycle dynamics and allows for tracking the spatial and temporal evolution of this elaborate biological system. We present results of two dimensional numerical simulations that, specifically in this work, include special cases of the spherical and papillary tumor growth, the infiltration of immune system cells into the tumor and the escape of tumor cells from the regime of the immune cells.

Published Online: 2018-09-22
Published in Print: 2018-09-01

© 2018 the author(s), published by Walter de Gruyter Berlin/Boston

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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